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＜電子ブック＞
Pseudo-Differential Operators : Quantization and Signals / by Hans G. Feichtinger, Bernard Helffer, Michael Lamoureux, Nicolas Lerner, Joachim Toft ; edited by Luigi Rodino, M. W. Wong
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 1949)

版	1st ed. 2008.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	XXIV, 214 p. 11 illus : online resource
著者標目	*Feichtinger, Hans G author Helffer, Bernard author Lamoureux, Michael author Lerner, Nicolas author Toft, Joachim author Rodino, Luigi editor Wong, M. W editor SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Operator theory LCSH:Approximation theory LCSH:Fourier analysis LCSH:Numerical analysis LCSH:Quantum physics FREE:Differential Equations FREE:Operator Theory FREE:Approximations and Expansions FREE:Fourier Analysis FREE:Numerical Analysis FREE:Quantum Physics
一般注記	Banach Gelfand Triples for Gabor Analysis -- Four Lectures in Semiclassical Analysis for Non Self-Adjoint Problems with Applications to Hydrodynamic Instability -- An Introduction to Numerical Methods of Pseudodifferential Operators -- Some Facts About the Wick Calculus -- Schatten Properties for Pseudo-Differential Operators on Modulation Spaces Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted HTTP:URL=https://doi.org/10.1007/978-3-540-68268-4

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